1011012120 has 96 divisors (see below), whose sum is σ = 3290414400. Its totient is φ = 269223936.

The previous prime is 1011012103. The next prime is 1011012139. The reversal of 1011012120 is 212101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332929 + ... + 335951.

It is an arithmetic number, because the mean of its divisors is an integer number (34275150).

Almost surely, 2^1011012120 is an apocalyptic number.

1011012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645207200).

1011012120 is an abundant number, since it is smaller than the sum of its proper divisors (2279402280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011012120 is a wasteful number, since it uses less digits than its factorization.

1011012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011012120 is about 31796.4167792536. The cubic root of 1011012120 is about 1003.6573144113.

Adding to 1011012120 its reverse (212101101), we get a palindrome (1223113221).

The spelling of 1011012120 in words is "one billion, eleven million, twelve thousand, one hundred twenty".